What two numbers multiply to -415 and add up to -78?

Here we answer the question: "What two numbers multiply to -415 and add up to -78?"

The answer to your question is:

-83 and 5

Below we illustrate and prove that -83 and 5 multiply to -415 and add up to -78:

-83 × 5 = -415
-83 + 5 = -78

Are you asking because you are trying to figure out how to factor the following quadratic equation?

x² - 78x - 415 = 0

If so, the solution to factor the quadratic equation above is:

(x - 83 ) (x + 5)

To summarize, since -83 and 5 multiply to -415 and add up -78, you know that the following is true:

x² - 78x - 415 = (x - 83 ) (x + 5)

Multiply To One Number and Add Up To Another
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